// Copyright (c) 2011, Qiu Chaofan
// All rights reserved.
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
//
//     * Redistributions of source code must retain the above copyright
//       notice, this list of conditions and the following disclaimer.
//     * Redistributions in binary form must reproduce the above copyright
//       notice, this list of conditions and the following disclaimer in the
//       documentation and/or other materials provided with the distribution.
//     * Neither the name of the University of California, Berkeley nor the
//       names of its contributors may be used to endorse or promote products
//       derived from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
// WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
// DISCLAIMED. IN NO EVENT SHALL THE REGENTS AND CONTRIBUTORS BE LIABLE FOR ANY
// DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
// (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
// LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
// ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

#ifndef ESSASSIN_BASICNUM_FRACTION_H_
#define ESSASSIN_BASICNUM_FRACTION_H_

class fraction {
public:
    fraction();
    fraction(double val);
    fraction(unsigned nrt, unsigned dmr);
    void reduce();
    friend unsigned to_common_denominator(fraction&, farction&);
    inline double value() const;
    inline bool is_proper() const;
    const fraction inverse(); //Is it larger than 0?
    const fraction operator + (const fraction&, const fraction&);
    const fraction operator - (const fraction&, const fraction&);
    const fraction operator * (const fraction&, const fraction&);
    const fraction operator / (const fraction&, const fraction&);
    const fraction operator ^ (const fraction&, unsigned exp);
private:
    unsigned numerator;
    unsigned denominator;
    bool positive;
};

#endif //ESSASSIN_BASICNUM_FRACTION_H_
